Question

question 8, 3.4.28 - be
part 4 of 5
the postage charged for first - class mail is a function of its weight. a postal service uses the following table to describe the rates for 2011. complete parts (a)-(e).
weight increment x (oz) first - class postage p(x)
first ounce or fraction of an ounce 41¢
each additional ounce or fraction of an ounce 24¢
b) find p(1.3) and explain what it means.
p(1.3)=65. this means that the postage on a 1.3 - oz first - class letter is 65¢.
c) give the domain of p as it is defined above.
0 < x≤4 (type a compound inequality.)
d) find p(2) and p(2.01)
p(2)=89 and p(2.01)=89.24

Explanation:

Step1: Calculate P(2)

For $x = 2$, use the formula $P(x)=41 + 24x$. Substitute $x = 2$ into the formula: $P(2)=41+24\times2=41 + 48=89$.

Step2: Calculate P(2.01)

For $x = 2.01$, use the formula $P(x)=41 + 24x$. Substitute $x = 2.01$ into the formula: $P(2.01)=41+24\times2.01=41+48.24 = 89.24$.

Answer:

$P(2)=89$ and $P(2.01)=89.24$